Description

• Title:
  Multiplicity of nonradial solutions for a class of quasilinear equations on annulus with exponential critical growth
• Creator:
  Alves, Claudianor O.;
  Freitas, Luciana R. de
• Description:
  In this paper, we establish the existence of many rotationally non-equivalent and nonradial solutions for the following class of quasilinear problems $$ \cases -\Delta_{N} u = \lambda f(|x|,u) &x\in \Omega_r,\\ u > 0 &x\in \Omega_r,\\ u=0 &x\in \partial\Omega_r, \endcases \tag P $$ where $\Omega_r = \{ x \in \mathbb{R}^{N}: r < |x| < r+1\}$, $N \geq 2$, $N\neq 3$, $r > 0$, $\lambda > 0$, $\Delta_{N}u= \div(|\nabla u|^{N-2}\nabla u ) $ is the $N$-Laplacian operator and $f$ is a continuous function with exponential critical growth.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 39, No 2 (June 2012); 243 - 262;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.014/8363
• Subject:
  Variational methods;
  positive solutions;
  quasilinear equations;
  35A15;
  35B10;
  35H30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.014
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other